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PIT_PIT [208]
2 years ago
14

How many numbers between 4000 and 5000 can be formed with the

Mathematics
1 answer:
marin [14]2 years ago
5 0

Answer:

36 numbers

Step-by-step explanation:

Number of digits in a number between 4000 and 5000 = 4

_ _ _ _

First digit of the number will be filled by 4.

So, the number of ways to fill the first digit = 1

4 _ _ _

If the given number is divisible by 5 then the last digit should be 5.

4 _ _ 5

So, the number of ways that the last digit should be 5 is = 1

Remaining 2 digits between 4 and 5 can be filled by any number given.

Therefore, number of ways that second place can be filled = 6

Similarly, number of ways that the third place of the number can be filled = 6

Now total number of ways = 1 × 6 × 6 × 1

                                             = 36

Therefore, numbers between 4000 and 5000, divisible by 5 = 36

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Line segment AB has endpoints A(-1.5, 0) and B(4.5 8). Point C is on line segment AB located at (0, 2)
Pie

Answer:

The ratio of AC/CB=1/3

Step-by-step explanation:

We use the section formula:

(\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})

We substitute the point A(-1.5,0) and B(4.5,8).

We plug in the points to get:

(\frac{4.5m - 1.5n}{m+n},\frac{8m+n \times 0}{m+n})

This is supposed to be equal to: (0,2).

(\frac{4.5m - 1.5n}{m+n},\frac{8m+n \times 0}{m+n}) = (0,2)

We can equate, corresponding coordinates to find m and n.

\frac{4.5m - 1.5n}{m + n}  = 0

This implies that:

4.5m - 1.5n = 0

4.5m  = 1.5n

\frac{m}{n}  =  \frac{1.5}{4.5}

\frac{m}{n}  =  \frac{1}{3}

Therefore the ratio is m:n=1:3

4 0
3 years ago
a person can purchase a particular model of a new car with a choice of 10 colors, with or without automatic transmission, with o
ch4aika [34]
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oksano4ka [1.4K]

Answer:   1. a^2 + 4a + 4

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The price of a fan is $15. This price is 27% lower than last week.
Goshia [24]

The price of fan was 20 Dollars 55 cents last week.

Step-by-step explanation:

Let,

The price last week = x

As the price is 27% lower than last week, therefore

(100%-27%) * Price last week = $15

73% * x = 15

Solving the percentage;

\frac{73}{100}*x=15\\ Multiplying\ both\ sides\ by\ 100\\100*\frac{73x}{100} = 15*100\\73x=1500\\Dividing\ both\ sides\ by\ 73\\\frac{73x}{73} = \frac{1500}{73} \\x= 20.55

The price of fan was 20 Dollars 55 cents last week.

Keywords: Percentage, multiplication.

Learn more about percentages at:

  • brainly.com/question/2140933
  • brainly.com/question/2142762

#LearnwithBrainly

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